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Theoretical and experimental study of chen chaotic system with notch filter feedback control

Chinese Physics B 2010年第9期19卷 261-267页

作者：张晓明陈菊芳彭建华 College of Physics Science and Technology Shenzhen University School of Physics Northeast Normal University

Since the past two decades, the time delay feedback control method has attracted more and more attention in chaos control studies because of its simplicity and efficiency compared with other chaos control schemes. Recently, it has been proposed to suppress low-dimensional chaos with the notch filter feedback control method, which can be implemented in a laser system. In this work, we have analytically determined the controllable conditions for notch filter feedback controlling of chen chaotic system in terms of the Hopf bifurcation theory. The conditions for notch filter feedback controlled chen chaoitc system having a stable limit cycle solution are given. Meanwhile, we also analysed the Hopf bifurcation direction, which is very important for parameter settings in notch filter feedback control applications. Finally, we apply the notch filter feedback control methods to the electronic circuit experiments and numerical simulations based on the theoretical analysis. The controlling results of notch filter feedback control method well prove the feasibility and reliability of the theoretical analysis.

关键词： notch filter feedback control chen chaotic system Hopf bifurcation

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Adaptive synchronization of chen chaotic system with uncertain parameters

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The Journal of China Universities of Posts and Telecommunications 2007年第2期14卷 103-105页

作者： LIU Yu-liang ZHU Jie DING Da-wei Department of Electronic Information Zhejiang Ocean University Zhoushan 316000 China Department of Electronic Engineering Shanghai Jiaotong University Shanghai 200240 China

By the control method independent of system parameters, synchronization of two chen chaotic systems with identical, but uncertain parameters is discussed in this article. Based on Lyapunov＇s theorem, an adaptive controller and the parameters estimate update law are derived to make the solution of the error dynamical equation converge at the point E（0, 0,0） with a quick speed, that is, the states of two chen chaotic systems can be asymptotically synchronized. Numerical simulations verify the effectiveness and the adaptivity to the variation of chen system parameters.

关键词： adaptive synchronization chen chaotic system uncertain parameters

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Chaos Synchronization on Parameters Adaptive Control for chen chaotic system

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The Journal of China Universities of Posts and Telecommunications 2003年第3期10卷 91-94页

作者： ZHOU Ping (Institute of Nonlinear systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, P.R. China) Institute of Nonlinear systems Chongqing University of Posts and Telecommunications 重庆 400065

Chaos synchronization of chen chaotic system for parameters unknown isdiscussed in this paper using a scalar output. Using the concept of conditional Lyapunov exponents,the negativity of all Lyapunov exponents shows the synchronization of transmitter systems withreceiver systems even though system parametes are not known to receiver systems.

关键词： chen chaotic system chaos synchronization parameter

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Synchronization of uncertain chaotic systems using dynamical compensator

Synchronization of uncertain chaotic systems using dynamical...

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2010 Chinese Control and Decision Conference

作者： Wenlin Li,Jing Miao,Zhenhong Liu College of Mathematics and Information Science,Henan Normal University,Xinxiang,453007

＜正＞At present,the uncertain system controller parameters are almost designed according to the upper bound of norm of the uncertainties,which often result in the designed controller has a serious *** order to overcome this shortcoming,this paper proposed a new synchronization strategy for uncertain chaotic systems by using dynamic compensator technique,which is robust to *** a typical numerical example is given to demonstrate the effectiveness of the result obtained.

关键词： chaotic synchronization dynamical compensator uncertainty chen chaotic system

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